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The area of the paralleogram represented...

The area of the paralleogram represented by the vectors `vec(A)= 2hat(i)+3hat(j)` and `vec(B)= hat(i)+4hat(j)` is

A

14 units

B

7.5 units

C

10 units

D

5units

Text Solution

Verified by Experts

The correct Answer is:
D
Area of the parallelogram `= vec(A) xx vec(B) = |(hat(i),hat(j),hat(k)),(2,3,0),(1,4,0)|= (8- 3) hat(k)= 5 hat(k)`
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ERRORLESS-BASIC MATHEMATICS AND VECTORS-NCERT Based Questions (Multiplication of Vectors )
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  2. Given vec(A) = 3hat(i) + 2hat(j) and vec(B) = hat(i) + hat(j). The com...

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  3. If vec(A)=2hat(i)+3hat(j)-hat(k) and vec(B)=-hat(i)+3hat(j)+4hat(k), t...

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  13. vector veca lies in the xy plane, has a magnitude of 18 units, and poi...

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  14. The area of the paralleogram represented by the vectors vec(A)= 2hat(i...

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  15. What is the unit vector perpendicular to the following Vector 2hat(i)+...

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  16. If vec(A)=2hat(i)+3hat(j)-hat(k) and vec(B)=-hat(i)+3hat(j)+4hat(k), t...

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  17. The angle between the vector vec(A) and vec(B) is theta. Find the valu...

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  18. vec(A) and vec(B) are two Vectors and theta is the angle between them,...

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